6 papers
Simple modules for affine nilCoxeter algebras
David J. Benson, Kay Jin Lim
We study the representation theory of the affine nilCoxeter algebra of type , over a field of any characteristic. Our main theorem states that this is a Noe…
Tensor Powers of Indecomposable Modules for
Manzu Kua, Kay Jin Lim
In the earlier paper arXiv:2603.11533, the authors gave an explicit tensor product formula, modulo projectives, for modules over the group algebra . In this paper,…
The Representation Type of the Descent Algebras
Karin Erdmann, Kay Jin Lim
Schocker classified the representation type of the descent algebra of type over any field of characteristic zero. In an earlier paper, the authors extended this classi…
Tensor Product and the Stable Green Ring of the Symmetric Group Algebra
Manzu Kua, Kay Jin Lim
We give an explicit formula for the decomposition of the tensor product of any two indecomposable non-projective modules for the symmetric group algebra modulo p…
The Representation Type of the Descent Algebras of Type
Karin Erdmann, Kay Jin Lim
We classify the representation type of the descent algebras of type $\A$ in the positive characteristic case. The algebras have finite representation type only for a few small degr…
Projective Modules and Cohomology for Integral Basic Algebras
David J. Benson, Kay Jin Lim
Algebras defined over fields of characteristic zero and positive characteristic usually do not behave the same way. However, for certain algebras, for example the group algebras, t…